Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:





MnDetails
7853
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
47119515.5old
255002617927.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000012449 / 16550
Estimated T-Level: 48.8
TF below 2^157 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver Kruse8014004C4E7AE2342013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbk8014004C4E7AE2342336213
Verified
No proof (small exponent)
2020-04-17Oliver KruseC26C691B2AAFDFC92260053
Verified
No proof (small exponent)
2024-02-03Wentao HuangC26C691B2AAFDFC92572353
History
DateUserTypeResult
2025-05-30masserNF-PP1Start=75/67, B1=1300000000, B2=1298700000000
2024-12-11yuriy_5-1NF-PM1B1=24000000000, B2=93848103835646160
2024-02-03Wentao HuangC-PRPM7853/47119/255002617 : C26C691B2AAFDFC9
2021-07-10ViliamFNF-PM1B1=1000000000, B2=201000000000
2020-04-17Oliver KruseC-PRPM7853/47119/255002617 : C26C691B2AAFDFC9
2017-10-12kkmrkkblmbrbkC-PRPM7853/47119/255002617 : 8014004C4E7AE234
2017-09-21Oliver KruseC-PRPM7853/47119/255002617 : 8014004C4E7AE234
2017-09-21Oliver KruseC-PRPM7853/47119/255002617 : 8014004C4E7AE234